The Gonzalez Model of Cyclic Spacetime Inversion: A Non-Linear Cosmological Framework

Standard cosmological models rely on linear thermodynamic expansion, culminating in absolute entropic dissipation (heat death) or unphysical spatial singularities. We present the Gonzalez Model of Cyclic Spacetime Inversion, a continuous cosmological framework governed by a dynamic scalar inversion field Φ(xα). Rather than collapsing into gravitational singularities or expanding indefinitely, metric dynamics undergo a zero-point phase transition at a defined saturation threshold Tᵢ. This paper details the axiomatic foundation, the variational Action Principle, the modified field equations, and verifiable cosmological signatures.